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Finding the Third Proportional to 10,190.25 and 15,681.94

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Solution

The third proportional to 10,190.25 and 15,681.94 is: 24,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.25 : 15,681.94 = 15,681.94 : x
  2. Step 2: Convert to fraction form
    10,190.25/15,681.94 = 15,681.94/x
  3. Step 3: Cross multiply
    10,190.25x = 15,681.94 × 15,681.94
  4. Step 4: Simplify right side
    10,190.25x = 245,923,163.75
  5. Step 5: Solve for x
    x = 245,923,163.75/10,190.25
  6. Step 6: Final answer
    x = 24,133.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.